How long before it shutsdown. what impedance are your speakers (single/dual 4ohm? etc) and how are they wired to the amp if it gets real hot and protection kicks on i imagine your speaks need wired different (series instead of parallel)

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sounds like your speaker is either the wrong resistance for your amp ie your amp may state 4 ohms and your speaker is 2 ohms which means that the speaker is shorting out the amp and its going into protection mode or the speaker could be burning out and shorting out the amp

Check the 12v wire running from the battery to the amplifier. Also the sony explode is a garbage subwoofer compared to the Alpine.. sony (they say 1200w max but its more like 100w to power the thing) Amp could be going. Is the amplifier hot when running. If there is a burnt smell comming from the amp, its the amplifier

1. you can go here and get a wiring manual with right model #.http://www.alpine-usa.com/US-en/support/
2. The red wire goes to ignition switch/key.
Yellow wire goes to constant hot/battery.
Black wire is ground.
Blue wire is for power antana you do not need to hook that to anything.
You can look at this diagram for a little more help it is not your radio though but it will give you a reference point to look at. All radio red,yellow,blue,black wires are the same on all radios.http://vault.alpine-usa.com/products/documents/OM_CDA-9884.PDF
go to page 42 on this site for wire diagram.
Good luck with problem.

No the reson for the amp overheating is do to the OHM ratting that you have the sub if to have the both wired up then just wire one up and that will give you the OHM ratting that your amp is ratted for the way that you might have it is the way that we wire them for coms. where it is on for 30sec and no more. if you would like more help let me know.
Gennisthgreat2000@yahoo.com